DMDE: epsilon-lattice + EBDD (working hypothesis) — Zenodo-ready bundle (v0.7)

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Authors: Ricardo Maldonado
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Abstract

DMDE (working hypothesis): epsilon‑lattice + EBDD (v0.7) This deposit provides a versioned, self-contained research bundle for the DMDE program (Dark Matter–Dark Energy bridge), including notes, figures, tables, and small reproducibility scripts. Core elements (order-of-magnitude / working framework): ε‑power mass ladder: M(n) = M_Pl · ε^n with ε ≡ sqrt(m_μ/m_τ) ≈ 0.2438515, highlighting discrete scales near μ ≈ 0.332 GeV and a benchmark DM scale m_χ ≈ 5.02 GeV. EBDD dark-energy bridge: ρ_Λ^(1/4) = κ · μ · sqrt(m_e / M_Pl) (κ ~ 1), with “electron selection” giving an O(1) match to the observed ρ_Λ^(1/4) ≈ 2.24 meV for μ ≈ 0.33 GeV. Portal wedge (vector mediator): allowed region for coupling product (g_χ g_q) vs mediator mass m_V, combining (i) direct-detection upper bounds and (ii) an asymmetry-transfer lower bound (dim‑6, Γ ~ T^5/M^4), plus a perturbativity guide (g_χ g_q ≲ 1). Annihilation-consistency overlay: adds a thermal annihilation consistency line (heavy-mediator limit) as an additional falsifiable check. Dark-photon option: kinetic-mixing viability window using α_D from annihilation and a BBN decay lower bound, yielding an allowed band for kinetic mixing vs m_{A’}. Bundle contents: PDF note: DMDE_Core_Spine_and_Falsifiers_v0.2_2026-01-06.pdf Notes (markdown): mechanism + synthesis + next-level summaries Repro scripts (Python): quickcheck runner + portal wedge plotting + supporting calculators Figures (PNG) and small CSV/JSON tables used to generate them Reproduce (quick check): Unzip the bundle cd DMDE_ZENODO_READY_v0.7_2026-01-06 Run: python code/dmde_quickcheck_runner_v6_2026-01-04.py Status: working hypothesis / not peer-reviewed; intended to be iterated via Zenodo versioning and checked via falsifiable constraints.

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
6 January 2026
Language
EN